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4234202102100 = 2235253673974657
BaseRepresentation
bin111101100111011010000…
…111001011100101010100
3112222210012211021012012210
4331213122013023211110
51023333121214231400
613001055433513420
7614624322013365
oct75473207134524
915883184235183
104234202102100
111392795779353
12584749872870
1324938bc43439
14108d1798bb6c
157521be00950
hex3d9da1cb954

4234202102100 has 144 divisors (see below), whose sum is σ = 12668411544768. Its totient is φ = 1091281551360.

The previous prime is 4234202102071. The next prime is 4234202102107. The reversal of 4234202102100 is 12012024324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234202102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922029 + ... + 3052628.

It is an arithmetic number, because the mean of its divisors is an integer number (87975080172).

Almost surely, 24234202102100 is an apocalyptic number.

It is an amenable number.

4234202102100 is an abundant number, since it is smaller than the sum of its proper divisors (8434209442668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4234202102100 is a wasteful number, since it uses less digits than its factorization.

4234202102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974794 (or 3974787 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 4234202102100 its reverse (12012024324), we get a palindrome (4246214126424).

The spelling of 4234202102100 in words is "four trillion, two hundred thirty-four billion, two hundred two million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 67 75 100 106 134 150 159 201 212 265 268 300 318 335 402 530 636 670 795 804 1005 1060 1325 1340 1590 1675 2010 2650 3180 3350 3551 3975 4020 5025 5300 6700 7102 7950 10050 10653 14204 15900 17755 20100 21306 35510 42612 53265 71020 88775 106530 177550 213060 266325 355100 532650 1065300 3974657 7949314 11923971 15898628 19873285 23847942 39746570 47695884 59619855 79493140 99366425 119239710 198732850 210656821 238479420 266302019 298099275 397465700 421313642 532604038 596198550 631970463 798906057 842627284 1053284105 1065208076 1192397100 1263940926 1331510095 1597812114 2106568210 2527881852 2663020190 3159852315 3195624228 3994530285 4213136420 5266420525 5326040380 6319704630 6657550475 7989060570 10532841050 12639409260 13315100950 14114007007 15799261575 15978121140 19972651425 21065682100 26630201900 28228014014 31598523150 39945302850 42342021021 56456028028 63197046300 70570035035 79890605700 84684042042 141140070070 169368084084 211710105105 282280140140 352850175175 423420210210 705700350350 846840420420 1058550525525 1411400700700 2117101051050 4234202102100